Details

analyze212.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

368×	`div-sub_binary64_2811`
196×	`associate-/l*_binary64_2751`
178×	`associate-/l/_binary64_2753`
148×	`times-frac_binary64_2812`
138×	`sub-neg_binary64_2799`
125×	`associate-/r/_binary64_2752`
120×	`cancel-sign-sub-inv_binary64_2772`
104×	`associate-/r*_binary64_2750`
100×	`distribute-rgt-in_binary64_2756`
92×	`distribute-lft-in_binary64_2755`
70×	`unsub-neg_binary64_2800`
68×	`distribute-neg-frac_binary64_2770`
60×	`distribute-rgt-neg-in_binary64_2764`
52×	`associate-l_binary64_2747`
50×	`associate-*l/_binary64_2749`
42×	`distribute-lft-neg-in_binary64_2763`
32×	`neg-mul-1_binary64_2802`
30×	`neg-sub0_binary64_2801` `distribute-lft-neg-out_binary64_2765`
28×	`associate-r_binary64_2746` `associate--r+_binary64_2742`
22×	`mul0-rgt_binary64_2789`
20×	`div0_binary64_2787` `distribute-frac-neg_binary64_2769` `distribute-rgt-neg-out_binary64_2766` `associate-+l-_binary64_2741` `+-commutative_binary64_2736`
18×	`-lft-identity_binary64_2795` `associate--l-_binary64_2744` `-commutative_binary64_2737`
14×	`distribute-neg-in_binary64_2767`
12×	`*-rgt-identity_binary64_2796` `sub0-neg_binary64_2793`
10×	`mul0-lft_binary64_2788` `distribute-rgt-out--_binary64_2760` `associate-*r/_binary64_2748` `associate--r-_binary64_2745` `associate--l+_binary64_2743`
8×	`/-rgt-identity_binary64_2797` `remove-double-div_binary64_2782` `distribute-rgt-out_binary64_2759` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`
6×	`mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `distribute-rgt1-in_binary64_2762` `associate-+r-_binary64_2740`
4×	`+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790`
2×	`distribute-neg-out_binary64_2768`
1×	`1-exp_binary64_2850`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `pow-plus_binary64_2869` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-unmult_binary64_2843` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-prod_binary64_2834` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `cancel-sign-sub_binary64_2771` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

243×	`div-sub_binary64_2811`
166×	`associate-/l/_binary64_2753`
143×	`times-frac_binary64_2812`
130×	`associate-/l*_binary64_2751`
86×	`sub-neg_binary64_2799`
81×	`associate-/r/_binary64_2752`
70×	`associate-/r*_binary64_2750`
62×	`distribute-lft-in_binary64_2755`
61×	`distribute-rgt-in_binary64_2756`
53×	`cancel-sign-sub-inv_binary64_2772`
42×	`distribute-neg-frac_binary64_2770`
39×	`associate-*l/_binary64_2749`
35×	`unsub-neg_binary64_2800`
31×	`associate-l_binary64_2747`
27×	`distribute-rgt-neg-in_binary64_2764`
20×	`neg-sub0_binary64_2801`
19×	`distribute-lft-neg-out_binary64_2765` `distribute-lft-neg-in_binary64_2763`
18×	`neg-mul-1_binary64_2802`
17×	`associate-r_binary64_2746` `associate--r+_binary64_2742`
15×	`mul0-rgt_binary64_2789`
14×	`+-commutative_binary64_2736`
13×	`div0_binary64_2787` `distribute-frac-neg_binary64_2769` `associate--l-_binary64_2744`
12×	`distribute-rgt-neg-out_binary64_2766`
11×	`associate-+l-_binary64_2741`
10×	`-lft-identity_binary64_2795` `-commutative_binary64_2737`
9×	`*-rgt-identity_binary64_2796` `distribute-neg-in_binary64_2767` `associate--r-_binary64_2745`
8×	`/-rgt-identity_binary64_2797` `sub0-neg_binary64_2793`
7×	`mul-1-neg_binary64_2798`
6×	`mul0-lft_binary64_2788`
5×	`distribute-rgt-out--_binary64_2760` `associate-*r/_binary64_2748` `associate--l+_binary64_2743`
4×	`remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `remove-double-div_binary64_2782` `distribute-rgt-out_binary64_2759` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`
3×	`distribute-rgt1-in_binary64_2762` `associate-+r-_binary64_2740`
2×	`+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790`
1×	`1-exp_binary64_2850` `distribute-neg-out_binary64_2768`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `pow-plus_binary64_2869` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-unmult_binary64_2843` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-prod_binary64_2834` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `cancel-sign-sub_binary64_2771` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

8.3b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.5b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite72.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

31×	`add-sqr-sqrt_binary64_2828`
28×	`*-un-lft-identity_binary64_2806`
19×	`times-frac_binary64_2812`
14×	`add-cube-cbrt_binary64_2841`
10×	`difference-of-squares_binary64_2775`
6×	`associate-/r*_binary64_2750`
5×	`distribute-lft-out--_binary64_2758`
4×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`cancel-sign-sub-inv_binary64_2772` `associate-/l*_binary64_2751`
2×	`pow1_binary64_2867` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-/r/_binary64_2752`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

2 → 58

Calls

2 calls:

14.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 873 to 532 computations (39.1% saved)

series188.0ms (4.4%)

Error

4.2b

Counts

2 → 18

Calls

2 calls:

104.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
73.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 406 to 299 computations (26.4% saved)

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

424×	`distribute-rgt-in_binary64_2756`
359×	`distribute-rgt-out_binary64_2759`
270×	`distribute-lft-out_binary64_2757`
196×	`associate-l_binary64_2747`
189×	`associate-r_binary64_2746`
182×	`exp-prod_binary64_2858`
168×	`associate-/l*_binary64_2751`
148×	`log-prod_binary64_2892`
121×	`cancel-sign-sub-inv_binary64_2772`
116×	`unswap-sqr_binary64_2774`
104×	`times-frac_binary64_2812`
101×	`distribute-lft-neg-out_binary64_2765`
97×	`div-sub_binary64_2811` `distribute-rgt-neg-out_binary64_2766`
78×	`*-commutative_binary64_2737`
77×	`associate-*l/_binary64_2749`
74×	`sub-neg_binary64_2799`
70×	`associate-/l/_binary64_2753`
65×	`associate-/r*_binary64_2750` `+-commutative_binary64_2736`
59×	`distribute-lft-in_binary64_2755`
57×	`associate-*r/_binary64_2748`
52×	`associate-+l+_binary64_2739`
51×	`distribute-rgt-neg-in_binary64_2764`
50×	`unsub-neg_binary64_2800`
49×	`distribute-lft-neg-in_binary64_2763`
46×	`log-div_binary64_2893`
44×	`distribute-neg-frac_binary64_2770`
40×	`unpow3_binary64_2872`
39×	`cube-prod_binary64_2834` `sqr-pow_binary64_2778`
38×	`neg-sub0_binary64_2801`
35×	`swap-sqr_binary64_2773`
34×	`associate-/r/_binary64_2752`
32×	`distribute-rgt-out--_binary64_2760`
30×	`neg-mul-1_binary64_2802`
29×	`associate-+r+_binary64_2738`
26×	`cube-div_binary64_2835`
22×	`*-rgt-identity_binary64_2796` `distribute-frac-neg_binary64_2769`
20×	`distribute-rgt1-in_binary64_2762`
16×	`exp-sum_binary64_2852` `*-lft-identity_binary64_2795`
13×	`difference-of-squares_binary64_2775`
12×	`distribute-neg-in_binary64_2767` `associate-+l-_binary64_2741`
10×	`sub0-neg_binary64_2793`
9×	`pow-plus_binary64_2869` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `distribute-lft-out--_binary64_2758`
8×	`associate-+r-_binary64_2740`
7×	`exp-diff_binary64_2854` `cube-unmult_binary64_2843` `distribute-lft1-in_binary64_2761`
6×	`log-rec_binary64_2894` `mul-1-neg_binary64_2798` `+-rgt-identity_binary64_2791`
4×	`cube-mult_binary64_2836` `/-rgt-identity_binary64_2797`
3×	`remove-double-neg_binary64_2794` `div0_binary64_2787` `pow-sqr_binary64_2779` `difference-of-sqr-1_binary64_2776` `associate--r+_binary64_2742`
2×	`log-pow_binary64_2895` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `distribute-neg-out_binary64_2768` `associate--l-_binary64_2744`
1×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `div-exp_binary64_2857` `1-exp_binary64_2850` `cube-neg_binary64_2833` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `difference-of-sqr--1_binary64_2777` `associate--r-_binary64_2745`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `cancel-sign-sub_binary64_2771` `count-2_binary64_2754` `associate--l+_binary64_2743`

Counts

76 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1055
1	270	1020
2	635	999
3	2180	990
4	4746	990
5	5045	990

prune30.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Error

4.2b

Counts

42 → 2

Compiler

Compiled 470 to 258 computations (45.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.2b	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

rewrite108.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

37×	`add-sqr-sqrt_binary64_2828`
23×	`*-un-lft-identity_binary64_2806`
14×	`associate-l_binary64_2747`
12×	`times-frac_binary64_2812` `difference-of-squares_binary64_2775`
6×	`difference-of-sqr-1_binary64_2776`
5×	`add-cube-cbrt_binary64_2841`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `distribute-lft-out--_binary64_2758`
3×	`cancel-sign-sub-inv_binary64_2772` `associate-r_binary64_2746`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `div-inv_binary64_2803` `associate-*l/_binary64_2749`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

2 → 56

Calls

2 calls:

19.0ms	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
16.0ms	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

Compiler

Compiled 1138 to 968 computations (14.9% saved)

series147.0ms (3.4%)

Error

4.1b

Counts

2 → 15

Calls

2 calls:

118.0ms	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
19.0ms	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

Compiler

Compiled 375 to 314 computations (16.3% saved)

simplify112.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64_2756`
577×	`distribute-lft-in_binary64_2755`
512×	`div-sub_binary64_2811`
319×	`times-frac_binary64_2812`
261×	`associate-+l+_binary64_2739`
231×	`associate-*l/_binary64_2749`
189×	`distribute-rgt-out_binary64_2759`
175×	`associate-/l*_binary64_2751`
171×	`associate-l_binary64_2747`
155×	`distribute-lft-out_binary64_2757` `*-commutative_binary64_2737`
133×	`associate-r_binary64_2746`
126×	`+-commutative_binary64_2736`
113×	`associate-/r*_binary64_2750`
110×	`unswap-sqr_binary64_2774`
103×	`associate-*r/_binary64_2748`
98×	`distribute-rgt-neg-out_binary64_2766`
95×	`unsub-neg_binary64_2800` `distribute-lft-neg-out_binary64_2765`
93×	`distribute-neg-in_binary64_2767`
72×	`sqr-pow_binary64_2778`
60×	`exp-prod_binary64_2858`
52×	`associate-+r+_binary64_2738`
49×	`sub-neg_binary64_2799`
46×	`associate-+l-_binary64_2741`
44×	`associate--r+_binary64_2742`
41×	`distribute-rgt1-in_binary64_2762` `associate-/l/_binary64_2753`
36×	`associate-+r-_binary64_2740`
33×	`log-prod_binary64_2892`
32×	`neg-sub0_binary64_2801`
30×	`mul-1-neg_binary64_2798` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795`
29×	`unpow3_binary64_2872` `cancel-sign-sub-inv_binary64_2772`
28×	`cube-prod_binary64_2834`
21×	`distribute-frac-neg_binary64_2769`
20×	`distribute-rgt-neg-in_binary64_2764`
19×	`exp-sum_binary64_2852` `distribute-lft1-in_binary64_2761`
18×	`distribute-lft-neg-in_binary64_2763` `associate-/r/_binary64_2752`
15×	`pow-plus_binary64_2869` `cube-unmult_binary64_2843`
14×	`neg-mul-1_binary64_2802` `pow-sqr_binary64_2779`
13×	`cube-div_binary64_2835`
12×	`exp-diff_binary64_2854` `rem-sqrt-square_binary64_2819` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
11×	`sqr-neg_binary64_2820`
10×	`swap-sqr_binary64_2773`
8×	`distribute-neg-out_binary64_2768` `associate--l+_binary64_2743`
7×	`cube-neg_binary64_2833` `sub0-neg_binary64_2793` `distribute-neg-frac_binary64_2770` `distribute-rgt-out--_binary64_2760`
6×	`unpow1/2_binary64_2870` `difference-of-sqr-1_binary64_2776`
5×	`+-rgt-identity_binary64_2791`
4×	`cube-mult_binary64_2836` `/-rgt-identity_binary64_2797` `associate--r-_binary64_2745` `associate--l-_binary64_2744`
3×	`remove-double-neg_binary64_2794`
2×	`log-div_binary64_2893` `div0_binary64_2787` `remove-double-div_binary64_2782`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `div-exp_binary64_2857` `exp-neg_binary64_2853` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `--rgt-identity_binary64_2792` `difference-of-sqr--1_binary64_2777` `count-2_binary64_2754`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `rem-square-sqrt_binary64_2818` `+-lft-identity_binary64_2790` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-lft-out--_binary64_2758`

Counts

71 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	1123
1	196	1042
2	488	952
3	1085	945
4	2274	944
5	3902	944
6	4942	944
7	4898	944

prune64.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

3.2b

Counts

65 → 2

Compiler

Compiled 1058 to 827 computations (21.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
5.9b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite156.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

47×	`add-sqr-sqrt_binary64_2828`
23×	`cbrt-prod_binary64_2837`
18×	`cancel-sign-sub-inv_binary64_2772`
15×	`*-un-lft-identity_binary64_2806`
12×	`difference-of-squares_binary64_2775`
11×	`add-cube-cbrt_binary64_2841`
10×	`associate-r_binary64_2746`
8×	`times-frac_binary64_2812`
7×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
6×	`associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867` `add-exp-log_binary64_2844`
3×	`add-cbrt-cube_binary64_2842` `sub-neg_binary64_2799`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758` `unswap-sqr_binary64_2774` `associate-*r/_binary64_2748`
1×	`diff-log_binary64_2898` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

2 → 69

Calls

2 calls:

31.0ms	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
25.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 1902 to 897 computations (52.8% saved)

series832.0ms (19.4%)

Error

3.2b

Counts

2 → 18

Calls

2 calls:

487.0ms	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
321.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 1060 to 846 computations (20.2% saved)

simplify121.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

654×	`unswap-sqr_binary64_2774`
372×	`*-commutative_binary64_2737`
287×	`unsub-neg_binary64_2800`
204×	`distribute-lft-in_binary64_2755`
203×	`distribute-rgt-in_binary64_2756`
193×	`associate-l_binary64_2747`
167×	`associate-r_binary64_2746`
138×	`distribute-rgt-out_binary64_2759`
114×	`distribute-lft-out_binary64_2757`
112×	`exp-prod_binary64_2858`
108×	`neg-sub0_binary64_2801`
105×	`sqr-pow_binary64_2778`
103×	`neg-mul-1_binary64_2802`
98×	`sub-neg_binary64_2799`
95×	`div-sub_binary64_2811`
93×	`associate-/l*_binary64_2751`
74×	`associate-*l/_binary64_2749` `+-commutative_binary64_2736`
71×	`log-prod_binary64_2892`
69×	`times-frac_binary64_2812`
64×	`distribute-rgt-neg-out_binary64_2766`
62×	`associate-+l+_binary64_2739`
61×	`*-lft-identity_binary64_2795`
55×	`associate-/r*_binary64_2750`
52×	`*-rgt-identity_binary64_2796`
51×	`difference-of-squares_binary64_2775` `distribute-lft-neg-out_binary64_2765`
49×	`associate-*r/_binary64_2748`
48×	`cube-prod_binary64_2834`
40×	`distribute-rgt-neg-in_binary64_2764`
35×	`distribute-lft-neg-in_binary64_2763`
34×	`cancel-sign-sub-inv_binary64_2772` `associate-+r+_binary64_2738`
27×	`exp-sum_binary64_2852`
23×	`log-pow_binary64_2895`
22×	`swap-sqr_binary64_2773`
19×	`cube-div_binary64_2835`
17×	`pow-sqr_binary64_2779`
16×	`distribute-rgt1-in_binary64_2762`
15×	`exp-diff_binary64_2854` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
14×	`unpow3_binary64_2872`
12×	`sub0-neg_binary64_2793` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740`
10×	`cube-unmult_binary64_2843` `cube-mult_binary64_2836`
9×	`pow-plus_binary64_2869` `+-rgt-identity_binary64_2791` `associate-/r/_binary64_2752`
8×	`exp-neg_binary64_2853`
7×	`rem-sqrt-square_binary64_2819` `distribute-rgt-out--_binary64_2760`
5×	`/-rgt-identity_binary64_2797` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `associate-/l/_binary64_2753`
4×	`mul-1-neg_binary64_2798`
3×	`unpow1/3_binary64_2873` `unpow1/2_binary64_2870`
2×	`unpow2_binary64_2871` `unpow1_binary64_2864` `difference-of-sqr--1_binary64_2777`
1×	`div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `remove-double-div_binary64_2782` `difference-of-sqr-1_binary64_2776` `count-2_binary64_2754`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-rec_binary64_2894` `log-div_binary64_2893` `pow-base-0_binary64_2890` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `sqr-abs_binary64_2821` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742`

Counts

87 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2074
1	374	1825
2	1325	1763
3	3187	1731
4	4995	1731
5	4914	1731

prune87.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Error

2.9b

Counts

72 → 2

Compiler

Compiled 1595 to 914 computations (42.7% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

5.9b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

19×	`add-sqr-sqrt_binary64_2828`
8×	`cbrt-prod_binary64_2837`
6×	`difference-of-squares_binary64_2775` `cancel-sign-sub-inv_binary64_2772`
5×	`*-un-lft-identity_binary64_2806`
4×	`times-frac_binary64_2812`
3×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841`
1×	`diff-log_binary64_2898` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758`

Counts

1 → 24

Calls

1 calls:

27.0ms

(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 782 to 355 computations (54.6% saved)

series328.0ms (7.7%)

Error

2.9b

Counts

1 → 9

Calls

1 calls:

317.0ms

(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 626 to 440 computations (29.7% saved)

simplify102.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-out_binary64_2759`
392×	`associate-l_binary64_2747`
390×	`unswap-sqr_binary64_2774`
311×	`associate-r_binary64_2746`
252×	`log-prod_binary64_2892`
187×	`cancel-sign-sub-inv_binary64_2772`
134×	`exp-prod_binary64_2858`
101×	`*-commutative_binary64_2737`
94×	`cube-prod_binary64_2834`
81×	`div-sub_binary64_2811`
80×	`sub-neg_binary64_2799`
79×	`distribute-lft-neg-out_binary64_2765`
71×	`distribute-rgt-neg-out_binary64_2766`
70×	`distribute-rgt-neg-in_binary64_2764`
68×	`sqr-pow_binary64_2778`
67×	`associate-/l*_binary64_2751`
66×	`distribute-lft-neg-in_binary64_2763`
59×	`+-commutative_binary64_2736`
56×	`distribute-lft-out_binary64_2757`
51×	`times-frac_binary64_2812`
49×	`associate-/r*_binary64_2750`
47×	`swap-sqr_binary64_2773` `distribute-rgt-out--_binary64_2760`
44×	`distribute-lft-in_binary64_2755`
43×	`distribute-rgt-in_binary64_2756`
41×	`unpow3_binary64_2872`
39×	`associate-+l+_binary64_2739`
36×	`unsub-neg_binary64_2800`
35×	`neg-sub0_binary64_2801`
34×	`exp-sum_binary64_2852`
31×	`neg-mul-1_binary64_2802`
30×	`difference-of-squares_binary64_2775` `distribute-rgt1-in_binary64_2762`
29×	`log-pow_binary64_2895` `cube-mult_binary64_2836`
27×	`rem-sqrt-square_binary64_2819`
26×	`cube-div_binary64_2835` `associate-*l/_binary64_2749`
22×	`-lft-identity_binary64_2795` `associate-r/_binary64_2748`
20×	`*-rgt-identity_binary64_2796`
19×	`cube-unmult_binary64_2843`
17×	`associate-+r+_binary64_2738`
15×	`pow-plus_binary64_2869`
13×	`distribute-lft1-in_binary64_2761`
12×	`sub0-neg_binary64_2793` `associate-+l-_binary64_2741`
11×	`exp-diff_binary64_2854` `associate-+r-_binary64_2740`
10×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
9×	`associate-/r/_binary64_2752`
8×	`sqr-neg_binary64_2820`
7×	`/-rgt-identity_binary64_2797` `+-rgt-identity_binary64_2791` `pow-sqr_binary64_2779`
6×	`mul-1-neg_binary64_2798`
4×	`associate-/l/_binary64_2753`
3×	`distribute-lft-out--_binary64_2758`
2×	`unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `cube-neg_binary64_2833` `distribute-neg-in_binary64_2767`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `div-exp_binary64_2857` `exp-neg_binary64_2853` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `rem-square-sqrt_binary64_2818` `remove-double-div_binary64_2782` `difference-of-sqr-1_binary64_2776`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-rec_binary64_2894` `log-div_binary64_2893` `pow-base-0_binary64_2890` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `rem-3cbrt-rft_binary64_2832` `sqr-abs_binary64_2821` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `difference-of-sqr--1_binary64_2777` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `count-2_binary64_2754` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742`

Counts

33 → 24

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	716
1	228	653
2	555	641
3	2320	638
4	4595	638
5	4969	638
6	5120	638

prune30.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

2.9b

Counts

26 → 2

Compiler

Compiled 648 to 295 computations (54.5% saved)

regimes227.0ms (5.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 2931 to 2242 computations (23.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64_2737`
7×	`+-commutative_binary64_2736`
4×	`sub-neg_binary64_2799`
2×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `*-lft-identity_binary64_2795`
1×	`1-exp_binary64_2850`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `unpow1_binary64_2864` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `unsub-neg_binary64_2800` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `*-rgt-identity_binary64_2796` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `cancel-sign-sub-inv_binary64_2772` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	64
1	44	64
2	51	64
3	55	64
4	57	64
5	56	64

end0.0ms (0%)

sample1.2s (28.1%)

Algorithm

1×

intervals

Results

226.0ms	8000×	pre	128	true
178.0ms	8000×	body	128	valid

Compiler

Compiled 663 to 501 computations (24.4% saved)

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

Details

analyze212.0ms (4.9%)

sample21.0ms (0.5%)

simplify48.0ms (1.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite72.0ms (1.7%)

series188.0ms (4.4%)

simplify89.0ms (2.1%)

prune30.0ms (0.7%)

localize7.0ms (0.2%)

rewrite108.0ms (2.5%)

series147.0ms (3.4%)

simplify112.0ms (2.6%)

prune64.0ms (1.5%)

localize10.0ms (0.2%)

rewrite156.0ms (3.6%)

series832.0ms (19.4%)

simplify121.0ms (2.8%)

prune87.0ms (2%)

localize13.0ms (0.3%)

rewrite65.0ms (1.5%)

series328.0ms (7.7%)

simplify102.0ms (2.4%)

prune30.0ms (0.7%)

regimes227.0ms (5.3%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.1%)

Profiling

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10